IDs 500-599

558

Has a cut point   ⟹  \implies Cardinality ≥3\geq 3

Added:

Mar 12, 2026

Difficulty:

In order for X∖{p}X \setminus \{p\} to be connected, it needs to have at least 2 points.

564

Locally finite   ⟹  \implies Locally countable

Added:

Mar 12, 2026

Difficulty:

Finite implies countable.

571

Almost discrete   ⟹  \implies ¬ Discrete

Added:

Mar 12, 2026

Difficulty:

It’s almost… so not quite.

584

Contractible   ⟹  \implies ¬ Empty

Added:

Mar 12, 2026

Difficulty:

The homotopy cannot be empty.